A note on self improvement of Poincaré-Sobolev inequalities via Garsia-Rodemich spaces

Abstract

We use the characterization of weak type inequalities via Garsia-Rodemich conditions to show self improving properties of Poincaré-Sobolev inequalities in a very general context.

12 pages, corrected typos

References in corpus (2)

• Sobolev Inequalities: Symmetrization and Self Improvement via Truncation
• Oscillation estimates, self-improving results and good-$\lambda$ inequalities